A stochastic model for prostate-specific antigen levels.

Abstract

We introduce a continuous stochastic model for the prostate-specific antigen (PSA) levels following radiotherapy and derive solutions for the associated partial differential (Kolmogorov-Chapman) equation. The solutions describe the evolution of the time-dependent density for PSA levels which take into account an absorbing condition along the boundary and various initial conditions. We include implications for single-dose and multi-dose radiation treatment regimens and discuss parameter estimation and sensitivity issues.

Cite this paper

@article{Dayananda2004ASM, title={A stochastic model for prostate-specific antigen levels.}, author={P W A Dayananda and John T Kemper and Mikhail M Shvartsman}, journal={Mathematical biosciences}, year={2004}, volume={190 2}, pages={113-26} }